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Proof step 1 from proof lil-carry (conclusion)

⊦ 0 ≤ i ∧ i ≤ 1 → l2i(i2l(i + band(4294967295, j) + band(4294967295, j0))) = i + band(4294967295, j) + band(4294967295, j0)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
i ≤ 1, 0 ≤ i ⊦ l2i(i2l(i + band(4294967295, j) + band(4294967295, j0))) = i + band(4294967295, j) + band(4294967295, j0)

Rule argument

Additional information

Used simplifier rules: ⊦ i ≤ j ∧ 0 ≤ i → 0 ≤ j; (forward)